Surface active Claude Code CLI sessions in the Claude mobile/web app

Problem

When running long Claude Code sessions from a terminal (e.g., via SSH, tmux, or a desktop), there's no way to monitor progress from a phone or another device without the /remote-control URL. That URL is only visible in the terminal that started the session — if you walk away from the machine, you lose access.

Current workaround

/remote-control generates a one-time URL that can be opened in a mobile browser. But you have to manually copy/share the link before leaving the terminal.

Proposed solution

Show active Claude Code sessions in the Claude app (mobile and web) under the user's account. This could be:

• A "CLI Sessions" section in the conversation list
• A notification when a long-running session completes
• Read-only live view similar to what /remote-control already provides, but discoverable from the app without needing the URL

Why this matters

Claude Code excels at autonomous, long-running tasks (migrations, refactors, multi-file changes). Users kick these off and want to check progress from their phone without having to pre-share a URL. The infrastructure already exists (/remote-control) — it just needs to be discoverable from the app side.